Results 231 to 240 of about 21,370 (261)

On Covering Radius of Orthogonal Arrays

2020 Algebraic and Combinatorial Coding Theory (ACCT), 2020
We obtain analytically upper bounds for the covering radius of orthogonal arrays (OAs) by investigations of the set of all feasible distance distributions of the corresponding OAs. We apply a procedure for reduction of the possible distance distributions of OA to improve the bound by 1 under certain assumptions.
Silvia P. Boumova, Tedis Ramaj, Maya Stoyanova   +2 more
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Constructions of Nested Orthogonal Arrays

Journal of Combinatorial Designs, 2013
AbstractA symmetric nested orthogonal array, denoted by NOA, is an OA which contains an OA as a subarray, where . Nested orthogonal arrays are useful in designing an experimental setup consisting of two experiments, the expensive one of higher accuracy being nested in a relatively less expensive one of lower accuracy.
Wang, Kun, Li, Yang
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On the construction of orthogonal arrays

2001
Summary: The geometric representation of an orthogonal array is obtained using finite analytic projective geometry of the Galois field \(\text{GF}(s)\) of \(t\) dimensions, which can be denoted by \(\text{PG}(t, s)\), where \(s\) is a prime or a power of a prime number. We give relations between the parameters of orthogonal arrays and properties of the
BAYRAK, Hülya, ALHAN, Aslıhan
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The Orthogonal Arrays

2002
Examples are given for understandable this of subject. Moreover, some important experimental designs are given. It used properties of orthogonal arrays for these arrays of construction. Finally, it is researched other experimental designs transition from existence of orthogonal arrays.
BAYRAK, Hülya, ALHAN, Aslıhan
openaire   +1 more source

Application of Orthogonal Polynomials and Special Matrices to Orthogonal Arrays

2020
Special matrices are explored in many areas of science and technology. Krawtchouk matrix is such a matrix that plays important role in coding theory and theory of orthogonal arrays also called fractional factorial designs in planning of experiments and statistics. In this paper we give explicitly Smith normal forms of Krawtchouk matrix and its extended
openaire   +1 more source

Evolutionary Search of Binary Orthogonal Arrays

2018
Orthogonal Arrays (OA) represent an interesting breed of combinatorial designs that finds applications in several domains such as statistics, coding theory, and cryptography. In this work, we address the problem of constructing binary OA through evolutionary algorithms, an approach which received little attention in the combinatorial designs literature.
Mariot, Luca, Picek, Stjepan, Jakobovic, Domagoj, Leporati, Alberto   +3 more
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Construction of a New Class of Orthogonal Arrays

Journal of Systems Science and Complexity, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Doubly Orthogonal Equi‐Squares and Sliced Orthogonal Arrays

Journal of Combinatorial Designs
ABSTRACTWe introduce doubly orthogonal equi‐squares. Using linear algebra over finite fields, we produce large families of mutually ‐doubly orthogonal equi‐ squares, and show these are of maximal size when . These results specialize to the results of Xu, Haaland, and Qian when and the equi‐squares are Sudoku Latin squares of order .
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Construction of mixed orthogonal arrays with high strength

Annals of Statistics, 2021
Shanqi Pang, Min-Qian Liu
exaly  

On the construction of 2-symbol orthogonal arrays.

2002
Summary: The application of Hadamard matrices to the theory and construction of experimental designs is of considerable importance. The purpose of this study is to point out some connections between Hadamard matrices, balanced incomplete block designs and orthogonal arrays.
Bayrak, Hülya, Alhan, Aslıhan
openaire   +3 more sources